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A class of TVD type combined numerical scheme for MHD equations with a survey about numerical methods in solar wind simulations
Feng XS(冯学尚); Wu, S. T.; Wei FS(魏奉思); Fan QL(范全林)
Department空间天气学国家重点实验室
Source PublicationSpace science reviews
2003
Pages43-53
Language英语
ISBN0038-6308
AbstractIt has been believed that three-dimensional, numerical, magnetohydrodynamic (MHD) modelling must play a crucial role in a seamless forecasting system. This system refers to space weather originating on the sun; propagation of disturbances through the solar wind and interplanetary magnetic field (IMF), and thence, transmission into the magnetosphere, ionosphere, and thermosphere. This role comes as no surprise to numerical modelers that participate in the numerical modelling of atmospheric environments as well as the meteorological conditions at Earth. Space scientists have paid great attention to operational numerical space weather prediction models. To this purpose practical progress has been made in the past years. Here first is reviewed the progress of the numerical methods in solar wind modelling. Then, based on our discussion, a new numerical scheme of total variation diminishing (TVD) type for magnetohydrodynamic equations in spherical coordinates is proposed by taking into account convergence, stability and resolution. This new MHD model is established by solving the fluid equations of MHD system with a modified Lax-Friedrichs scheme and the magnetic induction equations with MacCormack II scheme for the purpose of developing a combined scheme of quick convergence as well as of TVD property. To verify the validation of the scheme, the propagation of one-dimensional MHD fast and slow shock problem is discussed with the numerical results conforming to the existing results obtained by the piece-wise parabolic method (PPM). Finally, some conclusions are made.
KeywordCombined Numerical Scheme Of Tvd Type Numerical Methods Solar Wind Simulations
Conference NameWorld Space Environment Forum (WSEF2002)
Conference Date2003
Conference PlaceAdelaide, Australia
Indexed ByCPCI
Document Type会议论文
Identifierhttp://ir.nssc.ac.cn/handle/122/937
Collection空间科学部
Recommended Citation
GB/T 7714
Feng XS,Wu, S. T.,Wei FS,et al. A class of TVD type combined numerical scheme for MHD equations with a survey about numerical methods in solar wind simulations[C]. DORDRECHT:Kluwer Academic Publ,2003:43-53.
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